How do you determine whether (6,-2) is on the line y=1/2x-5?

Mar 10, 2018

$\left(6 , - 2\right) \text{ is on the line}$

Explanation:

$\text{If the point lies on the line then it will satisfy the }$
$\text{equation}$

$\text{substitute x = 6 into the equation and if the result is }$
$\text{y= - 2 then "(6,-2)" is on the line}$

$x = 6 \to y = \left(\frac{1}{2} \times 6\right) - 5 = 3 - 5 = - 2$

$\Rightarrow \left(6 , - 2\right) \text{ is on the line } y = \frac{1}{2} x - 5$